Quickname: 8101

Suitable for grades: Grade 7, Grade 8

Draw heights, medians, angle bisectors or perpendicular bisectors for a triangle.

A triangle is given.

Depending on the problem statement, a specific

- perpendicular bisector

- height

- median

or

- angle bisector

is to be drawn.

The number of problems is configurable. For every type of geometric line, it can be defined whether it can be asked for.

Tags: Angles, Classical Construc, Drawing, Triangle

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Parameter

Possible values

Number of problems

1, 2

Ask for perpendicular bisectors

Yes, No

Ask for angle bisectors

Yes, No

Ask for heights

Yes, No

Ask for medians

Yes, No

Remark

Description

Name and direct link

basic view on angle bisectors

Construct the bisector for a given angle using just a compass and a straightedge.

perpendicular bisectory in general, without triangle context

For a given line segment, construct the perpendicular bisector using only a compass and a ruler.

perpendicular bisectors in a triangle, in conjunction with the circumcircle

The circumcircle and perpendicular bisectors have to be drawn for a given triangle.

angle bisectors only, in conjunction with the incircle

The incircle and angle bisectors have to be drawn for a given triangle.

medians in a triangle, in conjunction with the centroid

The medians and centroid have to be drawn for a given triangle.

Name

Title

Description

Label advanced parts of a triangle

Construct perpendicular bisectors, angle bisectors and medians.

Relevance

Name

Description

Quickname

Example

****

Triangle draw incircle

The incircle and angle bisectors have to be drawn for a given triangle.

****

Triangle draw circumcircle

The circumcircle and perpendicular bisectors have to be drawn for a given triangle.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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